Parametric plots from NDSolve
- To: mathgroup at smc.vnet.net
- Subject: [mg16523] Parametric plots from NDSolve
- From: Virgil Stokes <virgil.stokes at neuro.ki.se>
- Date: Tue, 16 Mar 1999 04:00:02 -0500
- Sender: owner-wri-mathgroup at wolfram.com
I have the following short piece of code for solving a system of 2 2nd order
nonlinear
differential eqs.
Clear[p,q,r,P,Q,R];
p = 2; q = 2; r = 2/3;
P = 2; Q= 4/3; R=-1;
f = x[t] (p-r x[t] - q y[t]);
g = y[t] (P-Q x[t] - R y[t]);
eq = {x''[t] == f, y''[t] == g, x[0] == x0, x'[0] == 0.0,y[0] == y0,
y'[0] == 0.0};
sol = NDSolve[eq /. {x0->3.5, y0->2},{x[t],y[t]},{t,0,2}];
This codes works fine; but, I have been unable to figure out how
to plot:
x'[t] vs y'[t]
or
x''[t] vs y''[t]
How can one obtain parametric plots for the derivatives?
-- V Stokes